In the battle for ratings, Fox News is usually is keen to push its exclusive interviews with President Donald Trump as he takes time from his schedule to talk to its hosts.

But on Fox's "Sunday Morning Futures" breakfast show this week, the anchor Maria Bartiromo seemed to have trouble getting the president to hang up the phone.

At least five times Bartiromo tried to end the interview and cut to a commercial break, while the president railed against familiar targets like former Director of National Intelligence James Clapper (a "dummy"), the news media, and the "deep state."

You can watch the end of the interview, posted by the Vox writer Aaron Rupar, here:

For the first time since he became president, Trump appears to be chasing the news media more than it is chasing him — especially as his rivals for the presidency in 2020 eat up airtime with their early campaigns.

Search data also appears to show that the public too is tuning out of Trump.

In recent weeks the president has stepped up his media appearances. On Fox News, his favored network, Trump has given interviews three times in the past week alone.

And on Wednesday morning he unleashed a tweetstorm of more than 60 messages, a mix of his own attacks on the Russia investigation and retweets of supportive messages from other users.

But an increase in the kind of behavior that has gotten Trump attention before seems to be yielding diminishing returns.

Figures from Google search patterns and TV ratings indicate that public interest in the ratings-obsessed Trump is on a downward trend.

"Trump has dominated all of the media for several years, so maybe there is a sense of him starting to outstay his welcome, in terms of people paying attention to him," Tobe Berkovitz, a Boston University professor who is an expert in political communications, told The Hill in April.

Public Google data also indicates steadily declining interest in the president since he took power.

The graph below shows search intensity for the word "Trump." The chart begins one month after Trump's inauguration, which saw a dramatic spike.

Since then it has been on a downward track, with spikes during key controversies, including his firing of FBI Director James Comey in May 2017 and the government shutdown in late 2018.

Early April saw interest in Trump's name dip to a low for his presidency, about a third of its level in February 2017. It has stayed around that point since.

A Google Trends graph indicating that searches for "Trump" are at an all-time low for Trump's presidency. Google

Data also shows that Trump's capacity to grab attention on Twitter may also in decline.